AD.4: Solve real-world and other mathematical problems involving extrema.
AD.4: Solve real-world and other mathematical problems involving extrema.
- Maximum and Minimum Values of Curves and optimization
- Optimization
- Maximum-Minimum Problems: Business and Economics Applications, Part 1
- Maximum-Minimum Problems: Business and Economics Applications, Part 2
- Optimization Problems
- Extreme Values on Intervals
- Maximum & Minimum Vales and Optimization Exercises
- Relative Minima and Maxima Exercises
- Absolute Extrema Exercises
- Optimization Exercises
- Local Extreme Values Exercises
- Endpoint and Absolute Extreme Values Exercises
Solve real-world and other mathematical problems finding local and absolute maximum and minimum points with and without technology.
Maximum and Minimum Values of Curves and optimization
by Allen WolmerMooculus Calculus Textbook Sect 9.1 pp 146-148, 9.2 pp 150-156
Optimization
by Allen WolmerA Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos.
Section 12.1-12.5 pp 174-184
The first time you access this link to download the PDF, you will be asked four questions. Any that do not apply to you may be answered using any of the options listed.
Instructional video from NROC/Hippocampus on maximium-minimum problems (business and economics applications) from the Phoenix College Collection-Calculus 1.
Video duration: 9:56
Instructional video from NROC/Hippocampus on maximum-minimum problems (business and economics applications) from the Phoenix College Collection-Calculus 1.
Video duration: 4:50
Optimization Problems
by Allen WolmerExtreme Values on Intervals
by Allen WolmerMaximum & Minimum Vales and Optimization Exercises
by Allen WolmerMooculus Calculus Textbook Exercises, Sect 9.1 p 149 (Ans p 252), 9.2 p 157 (Ans p 252)
This set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Relative Minima and Maxima Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 3 Construct viable arguments and critique the reasoning of others.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Absolute Extrema Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 3 Construct viable arguments and critique the reasoning of others.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Optimization Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 3 Construct viable arguments and critique the reasoning of others.
- 4 Model with mathematics.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Local Extreme Values Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Endpoint and Absolute Extreme Values Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.